Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
338 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 93 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. C2×#14579079 | C2 | semidirect |
| 4. #19098331 | C2 | semidirect |
| 88. C22×C79 | #101 | semidirect |
| 105. C79 | #1901 | semidirect |
| 193. C22 | #14579079 | semidirect |